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Simplifying 34 = 7(u + 2) + -5u Reorder the terms: 34 = 7(2 + u) + -5u 34 = (2 * 7 + u * 7) + -5u 34 = (14 + 7u) + -5u Combine like terms: 7u + -5u = 2u 34 = 14 + 2u Solving 34 = 14 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 34 + -2u = 14 + 2u + -2u Combine like terms: 2u + -2u = 0 34 + -2u = 14 + 0 34 + -2u = 14 Add '-34' to each side of the equation. 34 + -34 + -2u = 14 + -34 Combine like terms: 34 + -34 = 0 0 + -2u = 14 + -34 -2u = 14 + -34 Combine like terms: 14 + -34 = -20 -2u = -20 Divide each side by '-2'. u = 10 Simplifying u = 10
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